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On Characterizing Nilpotent Lie Algebra by Their Multiplier, $$ s(L)=6, 7 $$

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2 Published in 2022 at "Results in Mathematics"

DOI: 10.1007/s00025-022-01616-5

Abstract: Let L be an n-dimensional non-abelian nilpotent Lie algebra and s(L) = 1 2 (n − 1)(n − 2) + 1 − dimM(L) where M(L) is the Schur multiplier of a Lie algebra L. The… read more here.

Keywords: lie; lie algebra; nilpotent lie; algebra multiplier ... See more keywords

Characterizing nilpotent Leibniz algebras by their multiplier

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0 Published in 2021 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2021.03.009

Abstract: Abstract In this paper, we characterize all finite dimensional nilpotent Leibniz algebras L for which ( dim ⁡ ( L ) ) 2 − dim ⁡ ( H L 2 ( L ) ) ≤… read more here.

Keywords: nilpotent leibniz; characterizing nilpotent; leibniz algebras; algebras multiplier ... See more keywords